Classifier-Free Guidance in Flow Matching: Non-Autonomous Potentials, Overshoot, and Posterior-Mean Control

arXiv:2609.24287 · cs.CV · Submitted 2026-09-21 · Read on arXiv

cs.CV

Submitted: 2026-09-21

Updated: 2026-09-21

Code: https://github.com/ppposition/pmc

Terminology

• Flow Matching — 41× in this paper · explained in 8 episodes
• Alignment — 9× in this paper · explained in 1 episode
• Conference on Computer Vision and Pattern Recognition — 5× in this paper
• Diffusion Model — 5× in this paper · explained in 8 episodes
• Trace — 5× in this paper · explained in 2 episodes
• Diffusion Models — 4× in this paper · explained in 6 episodes
• Gradient Flow — 4× in this paper · explained in 2 episodes
• Generative Model — 3× in this paper · explained in 2 episodes
• Generative Models — 3× in this paper · explained in 3 episodes
• Transformer — 3× in this paper · explained in 2 episodes
• Benchmark — 2× in this paper · explained in 2 episodes
• Rectified Flow — 2× in this paper · explained in 3 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Anisotropy — 1× in this paper · explained in 3 episodes
• Cosine Similarity — 1× in this paper · explained in 3 episodes
• Decoupling — 1× in this paper · explained in 2 episodes
• Failure Modes — 1× in this paper · explained in 3 episodes
• Generative Modeling — 1× in this paper · explained in 3 episodes
• Nash Equilibrium — 1× in this paper · explained in 2 episodes
• Normalizing Flow — 1× in this paper · explained in 3 episodes
• Normalizing Flows — 1× in this paper · explained in 4 episodes
• Selection Bias — 1× in this paper · explained in 4 episodes

Sources

• Building Normalizing Flows with Stochastic Interpolants
• Classifier-Free Diffusion Guidance
• Guided Flows for Generative Modeling and Decision Making
• Analytic Distribution of Classifier-Free Guidance for Schedule Design
• Classifier-Free Guidance is a Predictor-Corrector
• Improving Classifier-Free Guidance of Flow Matching via Manifold Projection

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